Optimality conditions for a class of optimal boundary control problems with quasilinear elliptic equations

• Autorzy: Casas E. , Dhamo V.
• Języki publikacji: EN

Abstrakty

EN

First- and second-order optimality conditions are established for the boundary optimal control of quasilinear elliptic equations with pointwise constraints on the control. The theory is developed for Neumann controls in polygonal domains of dimension two. For the derivation of second-order sufficient optimality conditions, which is the main goal of this paper, the regularity of the solutions to the state equation and its linearization is studied in detail. Moreover, a Pontryagin principle is proved. The main difficulty in the analysis of these problems is the nonmonotone character of the state equation.

Słowa kluczowe

EN

optimal control; Neumann boundary control; quasi-linear elliptic equation; Pontryagin principle; second order optimality conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 2
• Strony: 457--490
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Casas E.

autor

Dhamo V.

• 1Dpto. de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecommunicación, Universidad de Cantabria 39005 Santander, Spain,

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